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Finding the Fourth Proportional to 194.48, 268.38 and 107.15

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Solution

The fourth proportional to 194.48, 268.38 and 107.15 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.48 : 268.38 = 107.15 : x
  2. Step 2: Convert to fraction form
    194.48/268.38 = 107.15/x
  3. Step 3: Cross multiply
    194.48x = 268.38 × 107.15
  4. Step 4: Simplify right side
    194.48x = 28,757.59
  5. Step 5: Solve for x
    x = 28,757.59/194.48
  6. Step 6: Final answer
    x = 147.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.